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Finding the Fourth Proportional to 3,513.90, 4,849.50 and 1,942.50

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Solution

The fourth proportional to 3,513.90, 4,849.50 and 1,942.50 is: 2,680.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.90 : 4,849.50 = 1,942.50 : x
  2. Step 2: Convert to fraction form
    3,513.90/4,849.50 = 1,942.50/x
  3. Step 3: Cross multiply
    3,513.90x = 4,849.50 × 1,942.50
  4. Step 4: Simplify right side
    3,513.90x = 9,420,153.75
  5. Step 5: Solve for x
    x = 9,420,153.75/3,513.90
  6. Step 6: Final answer
    x = 2,680.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.